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Description
This article concerns the solvability of the nonlinear Schrodinger equation with gauge invariant power nonlinear term in one space dimension. The well-posedness of this equation is known only for H^s with s >__- 0. Under some assumptions on the nonlinearity, this paper shows that this equation is uniquely solvable for special but typical initial data, namely the linear combinations of 14;(x) and p. v.(1/x), which belong to H^<-1/2-0>. The proof in this article allows L^2-perturbations on the initial data.
Subject
Nonlinear Schrodinger Equations
Solvability
Rough Initial Data
Journal Title
Electronic Journal of Differential Equations
Volume
2015
Issue
279
Start Page
1
End Page
6
ISSN
10726691
Published Date
2015
Publisher
Texas State University, Department of Mathematics
NII Type
Journal Article
Format
PDF
Relation
Rights
Texas State University, Department of Mathematics
Text Version
出版社版
Gyoseki ID
e28186
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering
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